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Finding the Fourth Proportional to 536.15, 739.81 and 300.07

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Solution

The fourth proportional to 536.15, 739.81 and 300.07 is: 414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.15 : 739.81 = 300.07 : x
  2. Step 2: Convert to fraction form
    536.15/739.81 = 300.07/x
  3. Step 3: Cross multiply
    536.15x = 739.81 × 300.07
  4. Step 4: Simplify right side
    536.15x = 221,994.79
  5. Step 5: Solve for x
    x = 221,994.79/536.15
  6. Step 6: Final answer
    x = 414.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.